HWOB: Problem 1 O (1 point) We considerthe initialyalue problem 432;,\" 17'zyf + 53; = {1, 11(1) = 3, y'(1) = 2 By looking for solutions in the form 3,! = as" in an EulerCauchy problem 13123;\" + 3113' + Cy = 0, we obtain a auxiliary equation A72 + (B A]? + C = I] which is the analog ofthe auxiliary equation in the constant coefcientcase. (1) For this problem nd the auxiliary equation: = 0 (2) Find the roots of the auxiliary equation: (enter your results as a comma separated list J (3) Find a fundamental set of solutions yhyz: (enter your results as a comma separated list ) (4) Recall that the complementary solution tie, the general solution) is yc = clyl + Csb'z- Find the unique solution satisfying 19(1): 3! 3"(1) = 2